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Finding the Fourth Proportional to 2,380.02, 3,567.48 and 992.99

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Solution

The fourth proportional to 2,380.02, 3,567.48 and 992.99 is: 1,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.02 : 3,567.48 = 992.99 : x
  2. Step 2: Convert to fraction form
    2,380.02/3,567.48 = 992.99/x
  3. Step 3: Cross multiply
    2,380.02x = 3,567.48 × 992.99
  4. Step 4: Simplify right side
    2,380.02x = 3,542,477.16
  5. Step 5: Solve for x
    x = 3,542,477.16/2,380.02
  6. Step 6: Final answer
    x = 1,488.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.